Pdekite praasau rasti atskiraji diferencialines lygties sprendini

please help , kaip rasti deiferencines lygties prendini : (y+2)dx + xdy = 0 kai y(1)=2

(y+2)dx = -xdy
dx/x = -dy/(y+2)
integruoji...
vsio ;]

o kaip integruoti ir rasti ATSKIRAJI DIFERENCIALINES LYGTIES SPRENDINI? :(

[tex]\int \frac{dy}{y+2}=-\int \frac{dx}{x}[/tex]

[tex]\ln (y+2)=- \ln x + \ln C[/tex]

[tex]\ln (y+2)=\ln \frac{C}{x}[/tex]

[tex]y+2=\frac{C}{x}[/tex]

[tex]2+2=\frac{C}{1}, \ \ \ C=4[/tex]

[tex]y+2=\frac{4}{x}[/tex]

aciu